This project seeks to estimate sport fish harvest and releases of rockfish in Alaska waters by improving on the Howard et al. (2020) methods and expand the time series back to 1977 when the statewide harvest survey (SWHS) was first implemented. This is essentially a Bayesian version of the Howard methods that allows for more appropriate and defensible sharing of information between areas, handles missing data in a more appropriate manor, accurately propagates uncertainty throughout the estimation procedure and replaces the Howard decision tree approach to low sample sizes with a hierarchical model. The methods and results for generating harvest estimates are generally consistent between the Bayesian model and the Howard methods. Harvest estimates are consistent with Howard estimates during contemporary times, but may differ based on more appropriate weighting of SWHS and logbook data, including estimating and correcting bias in the SWHS data.

Table 1. Summary of key improvements in reconstructiing sport fish removals of rockfish using the Bayesian model as compared to the Howard et al. (2020) methods.
Issue Howard Bayes
Time series 1999 - present 1977 - present
Bias in SWHS Not explicitly dealt with. Relies on logbook data and ratios of guided/unguided from SWHS data to estimate unguided releases and harvests. Explicitly estimates bias in SWHS harvest and release estimates based on logbook data.
Species composition of releases Assumes that species composition of releases is equal to that of the harvest, which is not evident in the logbook data. Recognizes different release probabilities by species / species assemblage and estimates it from logbook data and bias corrected SWHS data
Sample size limitations Uses sample size threshholds such that when areas fall below those threshholds values are borrowed from nearby areas. Uses a hierarchichacal modelling approach that shares information between areas in the same region. Thus all data is used, even with small sample sizes. This is a more sound method that avoids assumptions and uses all of the data.
Error propogation Error is propogated when variance estimates are available, but there is uncertainty associated with borrowing values from nearby areas, or the assumption of species compositions being identical in harvest and releases, are not dealt with. By breaking the assumption that species composition is equal between harvests and releases, uncertainty in the release estimates is more reflective of the fishery. Furthermore, the hyerarchichal approach more accurately captures uncertainy within and between areas within a region.
**Figure 1.**- Data sources for estimating rockfish harvests and releases in ADF&G commercial fisheries management units. Note that initial rockfish harvest estimates were not differentiated into species assemblage or species until 1998 when logbooks began differentiating by pelagic and non-pelagic. Logbooks began to collect data on yelloweye beginning in 2006. Port sampling programs to gather data on species composition of harvests began in 1996 in Southcentral and Kodiak and in 2006 in Southeast.

Figure 1.- Data sources for estimating rockfish harvests and releases in ADF&G commercial fisheries management units. Note that initial rockfish harvest estimates were not differentiated into species assemblage or species until 1998 when logbooks began differentiating by pelagic and non-pelagic. Logbooks began to collect data on yelloweye beginning in 2006. Port sampling programs to gather data on species composition of harvests began in 1996 in Southcentral and Kodiak and in 2006 in Southeast.


**Figure 2.**- SWHS harvest (left) and release (right) estimates from guided trips (x-axis) versus repoted harvests from charter logbooks (y-axis).

Figure 2.- SWHS harvest (left) and release (right) estimates from guided trips (x-axis) versus repoted harvests from charter logbooks (y-axis).


Results

**Figure X.**- Rhat values and proportion of parameters that converged (Rhat < 1.1.)

Figure X.- Rhat values and proportion of parameters that converged (Rhat < 1.1.)

Estimate comparison

Since previous estimates of rockfish harvest have been produced these first 3 graphs will be used to show how the modeled estimates compare to the estimates produced earlier. For total rockfish the estimates are in general agreement although differences are noted. These estimates should be more reliable because they include both SWHS and guide logbook data, handle variance more appropriately, use hierarchical distributions when data is missing, directly consider observation error and are produced using reproducible research.

**Figure 3.**- Total rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 3.- Total rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 3.**- Total rockfish releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 3.- Total rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.


Notes from Adam: When looking at only black rockfish the most significant differences are for the Prince William Sound Inside area. I did not spend a great deal of time tracking this down although it looks like the previous version used bad values for \(P_{(black)ayu}\) for at least unguided anglers. For the moment I would ignore the results for BSIA and SOKO2SAP. I think it is possible to give approximate values for these areas but it will require a little more coding which I have yet to do.

**Figure 4.**- Black rockfish harvests 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 4.- Black rockfish harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.


And black rockfish releases…

**Figure 5.**- Black rockfish releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 5.- Black rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.





**Figure 6.**- Yellow rockfish harvests 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 6.- Yellow rockfish harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 7.**- Yellow rockfish releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 7.- Yellow rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.





**Figure 8.**- DSR rockfish (excluding yelloweye) harvests 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 8.- DSR rockfish (excluding yelloweye) harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 9.**- DSR rockfish releases (including yelloweye) 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 9.- DSR rockfish releases (including yelloweye) 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 11.**- Slope rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 11.- Slope rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 12.**- Slope rockfish releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 12.- Slope rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

**Figure 13.**- *Other* rockfish (non-pelagic and non-yelloweye) harvests 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 13.- Other rockfish (non-pelagic and non-yelloweye) harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 14.**- *Other* rockfish (non-pelagic and non-yelloweye) releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 14.- Other rockfish (non-pelagic and non-yelloweye) releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



Total Biomass Removal Estimates

**Figure 15.**- Black rockfish estimated total removals in lbs in 1996--2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 15.- Black rockfish estimated total removals in lbs in 1996–2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.



**Figure 16.**- Yellow rockfish estimated total removals in lbs in 1996--2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 16.- Yellow rockfish estimated total removals in lbs in 1996–2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

**Figure 17.**- Pelagic rockfish estimated total removals in lbs in 1996--2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 17.- Pelagic rockfish estimated total removals in lbs in 1996–2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.


**Figure 18.**- Non-yelloweye, demersal shelf rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 18.- Non-yelloweye, demersal shelf rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.


**Figure 19.**- Slope rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 19.- Slope rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.


Model fit

Logbook residuals

**Figure 20.**- Residuals from logbook harvests.

Figure 20.- Residuals from logbook harvests.


SWHS residuals

**Figure 21.**- Residuals from SWHS harvests.

Figure 21.- Residuals from SWHS harvests.



**Figure 22.**- Residual of SWHS releases.

Figure 22.- Residual of SWHS releases.

Parameter estimates

P(Charter)

These histograms show the posterior distribution of the mean percent of rockfish harvested by the charter fleet.

**Figure 23.**- Mean percent of harvest by charter anglers.

Figure 23.- Mean percent of harvest by charter anglers.


When considered annually we see the percent of rockfish harvested by the charter fleet follows our data fairly well although the model smooths out the changes and we just do not have much information about this ratio. Prior to 2011 the percent charter is confounded with SWHS bias and should be mostly discounted.

**Figure 24.**- Annual estimates of the percent of harvest by charter anglers for 16 commerical fishing manamgent areas, 1996-2023.

Figure 24.- Annual estimates of the percent of harvest by charter anglers for 16 commerical fishing manamgent areas, 1996-2023.

P(Harvest)

These plots show the fitted logistic line to the proportion of caught rockfish that are harvested. These estimates are used for hindcasting catch estimates based on the harvest data in early years when catch estimates are unavailable.


**Figure 25.**- Annual proportion of pelagic rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.

Figure 25.- Annual proportion of pelagic rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.


**Figure 26.**- Annual proportion of yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.

Figure 26.- Annual proportion of yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.


**Figure 27.**- Annual proportion of non-pelagic, non-yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note, that this is not estimated for Southeast areas because non=pelagics are divided between DSR (including yelloweye) and Slope species.

Figure 27.- Annual proportion of non-pelagic, non-yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note, that this is not estimated for Southeast areas because non=pelagics are divided between DSR (including yelloweye) and Slope species.


**Figure 28.**- Annual proportion of DSR rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note that the observed logbook data is for all non-pelagic, non-yelloweye fish.

Figure 28.- Annual proportion of DSR rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note that the observed logbook data is for all non-pelagic, non-yelloweye fish.


**Figure 29.**- Annual proportion of Slope rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note that the observed logbook data is for all non-pelagic, non-yelloweye fish.

Figure 29.- Annual proportion of Slope rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note that the observed logbook data is for all non-pelagic, non-yelloweye fish.

SWHS bias

Figure 23 shows the mean estimate for SWHS bias in harvests and releases. Cook Inlet, North Gulf Coast and North Southeast Inside all look pretty good while most other areas have substantial bias. Prince William Sound Inside has the largest bias. Bias in release estimates is substantial and whereas the SWHS appears to underestimate harvests, it appears to greatly overestimates releases by a factor of 2 or more in most areas as derived from logbook reported releases.

**Figure 30.**- Mean SWHS bias for harvests and catches. Note that a bias < 1 indicates that the SWHS *underestimates* the true value and bias > 1 indicates the survey *overestimates* the true value.

Figure 30.- Mean SWHS bias for harvests and catches. Note that a bias < 1 indicates that the SWHS underestimates the true value and bias > 1 indicates the survey overestimates the true value.


Our estimates of SWHS harvest bias track observations fairly well when he have guided harvest estimates. The estimates of release bias in the SWHS data track observed patterns to an extent, but appear to smooth these more volatile disagreements with the logbook data. Adam postulated in his initial start on this that some of this could be the result of the estimates of the proportion guided. This value was not modelled with a trend and thus applies a constant estimate when hindcasting. Data on these relationships could greatly improve this model.

**Figure 31.**- Annual estimates of SWHS bias in harvests and releases for 16 commerical fishing manamgent areas, 1996-2023. Note that a bias < 1 indicates that the SWHS *underestimates* the true value and bias > 1 indicates the survey *overestimates* the true value.

Figure 31.- Annual estimates of SWHS bias in harvests and releases for 16 commerical fishing manamgent areas, 1996-2023. Note that a bias < 1 indicates that the SWHS underestimates the true value and bias > 1 indicates the survey overestimates the true value.

P(pelagic)

We model the percentage of pelagic rockfish in the harvest because we have the information for charter anglers (via logbooks) starting in 1998. Other than looking at the model estimates you can use Figure 25 to compare the two data streams for pelagic rockfish harvest. In general they are in agreement with major exceptions in Price William Sound inside, Prince William Sound outside (early in the time series) and South Southeast inside.

**Figure 32.**- Annual estimates of the percent of the sport harvest that was pelagic rockfish for 16 commerical fishing manamgent areas, 1996-2023.

Figure 32.- Annual estimates of the percent of the sport harvest that was pelagic rockfish for 16 commerical fishing manamgent areas, 1996-2023.

P(black|pelagic)

Note that in Southeast Alaska we only have composition data starting in 2006. Tania dug up old SE data, but it did not provide any useful data for species apportionment. For the most part, P(black|pelagic) is relatively constant across areas, with the exception of Cook Inlet and NSEI in Southeast AK. It may be worth discussing whether the shifts in those areas is a result of improved or changing species identification rather than actual shift in the species composition of the catch.

**Figure 33.**- Annual estimates of the percent of the sport harvest of pelagic rockfish that were black rockfish for 16 commerical fishing manamgent areas, 1996-2023. Kodiak panels include data from a hydroacoustic survey and the proportion of pelagic rockfish that are black in those areas (red) and the adjusted proportions based on obseved harvests for charter (blue) and private (cyan) users.

Figure 33.- Annual estimates of the percent of the sport harvest of pelagic rockfish that were black rockfish for 16 commerical fishing manamgent areas, 1996-2023. Kodiak panels include data from a hydroacoustic survey and the proportion of pelagic rockfish that are black in those areas (red) and the adjusted proportions based on obseved harvests for charter (blue) and private (cyan) users.

P(yelloweye|non-pelagic / yelloweye|DSR)

**Figure 34.**- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were yelloweye rockfish for 16 commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.

Figure 34.- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were yelloweye rockfish for 16 commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.

P(DSR|non-pelagic)

**Figure 35.**- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were DSR rockfish for 6 Southeast commerical fishing manamgent areas, 1996-2023.

Figure 35.- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were DSR rockfish for 6 Southeast commerical fishing manamgent areas, 1996-2023.

P(slope|non-pelagic)

**Figure 36.**- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were slope rockfish for 6 southeast commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.

Figure 36.- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were slope rockfish for 6 southeast commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.



P(slope|non-pelagic & non-yellowye) For release estimates

## NULL



Weight Fits

**Figure 37.**- Mean weights of black rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 37.- Mean weights of black rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


**Figure 38.**- Mean weights of yelloweye rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 38.- Mean weights of yelloweye rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


**Figure 39.**- Mean weights of non-black, pelagic rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 39.- Mean weights of non-black, pelagic rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


**Figure 40.**- Mean weights of non-yelloweye, demersal shelf rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 40.- Mean weights of non-yelloweye, demersal shelf rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


**Figure 41.**- Mean weights of slope rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 41.- Mean weights of slope rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


Summary of unconverged parameters:

The proportion of unconverged species composition proportional estimates that are near the bounds of 0 or 1 is 0.3581081

The proportion of unconverged true parameters (defined as Rhat > 1.01) that are also in excess of an Rhat of 1.1 is 0.12 while 0.88 are less than 1.1.

Table Xa. Species proportion derived quantities that are not with 0.05 of the 0 and 1 bounds and are not converged relative to an Rhat of 1.01.

variable

area_n

year

user

mean

median

lower

upper

Rhat

sd

skew

area

p_pelagic

13

1

1

0.308

0.291

0.118

0.592

1.027

0.124

0.137

NSEI

p_pelagic

13

1

2

0.129

0.114

0.040

0.301

1.040

0.070

0.215

NSEI

p_pelagic

13

10

1

0.323

0.309

0.121

0.612

1.019

0.124

0.113

NSEI

p_pelagic

13

10

2

0.135

0.118

0.041

0.314

1.020

0.071

0.238

NSEI

p_pelagic

13

11

1

0.325

0.312

0.122

0.603

1.015

0.124

0.104

NSEI

p_pelagic

13

11

2

0.138

0.122

0.044

0.320

1.027

0.073

0.221

NSEI

p_pelagic

13

12

1

0.327

0.312

0.127

0.596

1.021

0.123

0.122

NSEI

p_pelagic

13

12

2

0.140

0.127

0.041

0.316

1.022

0.072

0.179

NSEI

p_pelagic

13

13

1

0.334

0.322

0.136

0.609

1.024

0.124

0.097

NSEI

p_pelagic

13

13

2

0.144

0.130

0.046

0.325

1.018

0.074

0.190

NSEI

p_pelagic

13

14

1

0.317

0.302

0.131

0.583

1.017

0.118

0.127

NSEI

p_pelagic

13

14

2

0.142

0.130

0.044

0.311

1.012

0.070

0.172

NSEI

p_pelagic

13

15

2

0.134

0.120

0.043

0.296

1.018

0.066

0.211

NSEI

p_pelagic

13

16

1

0.330

0.322

0.136

0.581

1.012

0.115

0.069

NSEI

p_pelagic

13

16

2

0.145

0.131

0.049

0.318

1.013

0.071

0.197

NSEI

p_pelagic

13

17

1

0.340

0.327

0.148

0.596

1.017

0.118

0.110

NSEI

p_pelagic

13

18

2

0.155

0.141

0.053

0.335

1.015

0.073

0.192

NSEI

p_pelagic

13

19

1

0.347

0.335

0.143

0.602

1.010

0.120

0.100

NSEI

p_pelagic

13

19

2

0.159

0.144

0.056

0.336

1.015

0.074

0.203

NSEI

p_pelagic

13

2

1

0.308

0.290

0.113

0.589

1.027

0.125

0.144

NSEI

p_pelagic

13

2

2

0.130

0.112

0.039

0.318

1.030

0.071

0.253

NSEI

p_yellow

13

27

1

0.352

0.311

0.100

0.873

1.010

0.188

0.218

NSEI

p_yellow

13

28

1

0.364

0.327

0.105

0.858

1.013

0.186

0.199

NSEI

p_yellow

13

29

1

0.342

0.315

0.102

0.772

1.014

0.170

0.159

NSEI

p_yellow

13

29

2

0.437

0.412

0.159

0.849

1.010

0.178

0.141

NSEI

p_pelagic

13

3

1

0.311

0.297

0.119

0.586

1.020

0.122

0.115

NSEI

p_pelagic

13

3

2

0.130

0.112

0.038

0.313

1.028

0.073

0.246

NSEI

p_pelagic

13

4

1

0.314

0.294

0.119

0.587

1.025

0.124

0.162

NSEI

p_pelagic

13

4

2

0.130

0.114

0.038

0.311

1.021

0.070

0.227

NSEI

p_pelagic

13

5

1

0.312

0.299

0.118

0.581

1.028

0.123

0.105

NSEI

p_pelagic

13

5

2

0.131

0.117

0.038

0.309

1.031

0.071

0.197

NSEI

p_pelagic

13

6

1

0.320

0.303

0.119

0.604

1.033

0.125

0.136

NSEI

p_pelagic

13

6

2

0.131

0.116

0.037

0.312

1.032

0.071

0.211

NSEI

p_pelagic

13

7

1

0.315

0.298

0.120

0.598

1.023

0.123

0.139

NSEI

p_pelagic

13

7

2

0.133

0.119

0.039

0.309

1.014

0.071

0.198

NSEI

p_pelagic

13

8

1

0.319

0.303

0.122

0.599

1.024

0.125

0.128

NSEI

p_pelagic

13

8

2

0.134

0.119

0.042

0.301

1.029

0.069

0.218

NSEI

p_pelagic

13

9

1

0.322

0.306

0.125

0.597

1.017

0.124

0.129

NSEI

p_pelagic

13

9

2

0.134

0.118

0.043

0.315

1.024

0.071

0.226

NSEI

p_yellow

14

1

1

0.607

0.583

0.254

0.995

1.063

0.204

0.118

NSEO

p_yellow

14

1

2

0.646

0.634

0.306

0.996

1.054

0.191

0.063

NSEO

p_yellow

14

10

1

0.611

0.590

0.271

0.995

1.059

0.201

0.105

NSEO

p_yellow

14

10

2

0.646

0.634

0.304

0.996

1.053

0.193

0.062

NSEO

p_yellow

14

11

1

0.608

0.586

0.259

0.995

1.053

0.202

0.109

NSEO

p_yellow

14

11

2

0.644

0.632

0.298

0.997

1.050

0.192

0.062

NSEO

p_yellow

14

12

1

0.609

0.593

0.266

0.995

1.054

0.203

0.079

NSEO

p_yellow

14

12

2

0.648

0.636

0.302

0.997

1.054

0.192

0.063

NSEO

p_yellow

14

13

1

0.606

0.586

0.260

0.996

1.060

0.202

0.099

NSEO

p_yellow

14

13

2

0.647

0.635

0.295

0.997

1.053

0.191

0.063

NSEO

p_yellow

14

14

1

0.612

0.593

0.273

0.996

1.056

0.200

0.095

NSEO

p_yellow

14

14

2

0.644

0.631

0.297

0.997

1.048

0.195

0.067

NSEO

p_yellow

14

15

1

0.607

0.588

0.258

0.995

1.059

0.204

0.093

NSEO

p_yellow

14

15

2

0.648

0.634

0.301

0.996

1.055

0.192

0.073

NSEO

p_yellow

14

16

1

0.609

0.587

0.255

0.996

1.060

0.204

0.108

NSEO

p_yellow

14

16

2

0.648

0.634

0.293

0.996

1.056

0.192

0.073

NSEO

p_yellow

14

17

1

0.605

0.581

0.262

0.995

1.051

0.204

0.118

NSEO

p_yellow

14

17

2

0.648

0.637

0.296

0.996

1.050

0.191

0.058

NSEO

p_yellow

14

18

1

0.610

0.592

0.254

0.995

1.055

0.203

0.089

NSEO

p_yellow

14

18

2

0.647

0.639

0.291

0.997

1.048

0.191

0.042

NSEO

p_yellow

14

19

1

0.611

0.597

0.265

0.996

1.063

0.201

0.070

NSEO

p_yellow

14

19

2

0.646

0.632

0.308

0.996

1.049

0.191

0.073

NSEO

p_yellow

14

2

1

0.608

0.588

0.270

0.995

1.066

0.200

0.100

NSEO

p_yellow

14

2

2

0.645

0.633

0.291

0.996

1.055

0.194

0.062

NSEO

p_yellow

14

20

1

0.605

0.583

0.253

0.995

1.066

0.203

0.108

NSEO

p_yellow

14

20

2

0.647

0.634

0.296

0.996

1.058

0.193

0.067

NSEO

p_yellow

14

21

1

0.611

0.591

0.264

0.996

1.070

0.200

0.100

NSEO

p_yellow

14

21

2

0.648

0.639

0.296

0.996

1.056

0.193

0.047

NSEO

p_yellow

14

22

1

0.609

0.586

0.269

0.996

1.053

0.203

0.113

NSEO

p_yellow

14

22

2

0.647

0.633

0.300

0.996

1.061

0.193

0.073

NSEO

p_yellow

14

23

1

0.637

0.624

0.291

0.996

1.058

0.190

0.068

NSEO

p_yellow

14

23

2

0.646

0.631

0.296

0.997

1.058

0.191

0.078

NSEO

p_yellow

14

24

1

0.635

0.621

0.305

0.995

1.056

0.189

0.074

NSEO

p_yellow

14

24

2

0.647

0.639

0.289

0.997

1.053

0.194

0.041

NSEO

p_yellow

14

25

1

0.621

0.601

0.273

0.996

1.062

0.195

0.102

NSEO

p_yellow

14

25

2

0.646

0.632

0.302

0.996

1.051

0.193

0.072

NSEO

p_yellow

14

26

1

0.616

0.598

0.269

0.996

1.069

0.200

0.090

NSEO

p_yellow

14

26

2

0.646

0.640

0.289

0.996

1.047

0.195

0.031

NSEO

p_yellow

14

27

1

0.633

0.616

0.291

0.996

1.056

0.192

0.088

NSEO

p_yellow

14

27

2

0.650

0.639

0.305

0.996

1.048

0.186

0.059

NSEO

p_yellow

14

28

1

0.615

0.592

0.283

0.995

1.065

0.193

0.119

NSEO

p_yellow

14

28

2

0.644

0.632

0.300

0.997

1.057

0.191

0.063

NSEO

p_yellow

14

29

1

0.608

0.592

0.269

0.990

1.045

0.192

0.083

NSEO

p_yellow

14

29

2

0.637

0.628

0.293

0.991

1.040

0.191

0.047

NSEO

p_yellow

14

3

1

0.610

0.592

0.251

0.995

1.058

0.202

0.089

NSEO

p_yellow

14

3

2

0.648

0.639

0.300

0.996

1.046

0.192

0.047

NSEO

p_yellow

14

4

1

0.609

0.588

0.263

0.995

1.057

0.203

0.104

NSEO

p_yellow

14

4

2

0.649

0.642

0.288

0.996

1.043

0.193

0.036

NSEO

p_yellow

14

5

1

0.614

0.595

0.258

0.996

1.055

0.201

0.094

NSEO

p_yellow

14

5

2

0.644

0.631

0.298

0.997

1.055

0.194

0.067

NSEO

p_yellow

14

6

1

0.609

0.589

0.258

0.995

1.055

0.203

0.099

NSEO

p_yellow

14

6

2

0.646

0.634

0.303

0.996

1.051

0.193

0.062

NSEO

p_yellow

14

7

1

0.608

0.587

0.270

0.995

1.053

0.201

0.105

NSEO

p_yellow

14

7

2

0.648

0.637

0.305

0.996

1.048

0.191

0.057

NSEO

p_yellow

14

8

1

0.610

0.589

0.268

0.996

1.056

0.200

0.105

NSEO

p_yellow

14

8

2

0.644

0.635

0.296

0.997

1.051

0.195

0.046

NSEO

p_yellow

14

9

1

0.607

0.585

0.259

0.996

1.056

0.202

0.109

NSEO

p_yellow

14

9

2

0.647

0.634

0.292

0.996

1.049

0.195

0.067

NSEO

p_slope

15

24

1

0.248

0.213

0.044

0.611

1.010

0.150

0.233

SSEI

p_pelagic

16

1

1

0.404

0.400

0.147

0.688

1.062

0.141

0.028

SSEO

p_pelagic

16

1

2

0.381

0.378

0.140

0.646

1.067

0.135

0.022

SSEO

p_pelagic

16

10

1

0.413

0.409

0.160

0.682

1.037

0.135

0.030

SSEO

p_pelagic

16

10

2

0.387

0.381

0.151

0.656

1.054

0.133

0.045

SSEO

p_pelagic

16

11

1

0.414

0.410

0.166

0.697

1.057

0.138

0.029

SSEO

p_pelagic

16

11

2

0.387

0.378

0.151

0.661

1.049

0.134

0.067

SSEO

p_pelagic

16

12

1

0.410

0.403

0.164

0.689

1.032

0.135

0.052

SSEO

p_pelagic

16

12

2

0.393

0.385

0.152

0.669

1.035

0.135

0.059

SSEO

p_pelagic

16

13

1

0.412

0.406

0.170

0.686

1.042

0.135

0.044

SSEO

p_pelagic

16

13

2

0.393

0.385

0.154

0.655

1.038

0.132

0.061

SSEO

p_pelagic

16

14

1

0.397

0.393

0.162

0.661

1.040

0.129

0.031

SSEO

p_pelagic

16

14

2

0.390

0.382

0.167

0.661

1.041

0.129

0.062

SSEO

p_pelagic

16

15

1

0.400

0.394

0.169

0.675

1.031

0.132

0.046

SSEO

p_pelagic

16

15

2

0.394

0.389

0.160

0.662

1.033

0.130

0.038

SSEO

p_pelagic

16

16

1

0.397

0.391

0.169

0.662

1.032

0.128

0.047

SSEO

p_pelagic

16

16

2

0.390

0.382

0.166

0.655

1.032

0.129

0.062

SSEO

p_pelagic

16

17

1

0.448

0.443

0.221

0.692

1.027

0.123

0.041

SSEO

p_pelagic

16

17

2

0.406

0.400

0.169

0.666

1.039

0.131

0.046

SSEO

p_pelagic

16

18

1

0.433

0.423

0.208

0.691

1.026

0.127

0.079

SSEO

p_pelagic

16

18

2

0.404

0.397

0.174

0.666

1.031

0.129

0.054

SSEO

p_pelagic

16

19

1

0.423

0.418

0.200

0.682

1.029

0.125

0.040

SSEO

p_pelagic

16

19

2

0.402

0.397

0.178

0.661

1.015

0.127

0.039

SSEO

p_pelagic

16

2

1

0.405

0.402

0.149

0.687

1.054

0.138

0.022

SSEO

p_pelagic

16

2

2

0.385

0.380

0.143

0.665

1.045

0.137

0.037

SSEO

p_pelagic

16

20

1

0.426

0.419

0.211

0.671

1.021

0.123

0.057

SSEO

p_pelagic

16

20

2

0.407

0.401

0.178

0.667

1.013

0.127

0.047

SSEO

p_pelagic

16

21

1

0.404

0.397

0.185

0.659

1.017

0.124

0.056

SSEO

p_pelagic

16

21

2

0.404

0.399

0.181

0.650

1.021

0.125

0.040

SSEO

p_pelagic

16

22

2

0.406

0.398

0.185

0.658

1.014

0.125

0.064

SSEO

p_pelagic

16

3

1

0.401

0.398

0.150

0.667

1.065

0.136

0.022

SSEO

p_pelagic

16

3

2

0.383

0.380

0.134

0.659

1.053

0.137

0.022

SSEO

p_pelagic

16

4

1

0.404

0.399

0.154

0.677

1.057

0.138

0.036

SSEO

p_pelagic

16

4

2

0.381

0.374

0.144

0.661

1.061

0.135

0.052

SSEO

p_pelagic

16

5

1

0.406

0.400

0.163

0.682

1.063

0.135

0.044

SSEO

p_pelagic

16

5

2

0.387

0.379

0.147

0.665

1.055

0.137

0.058

SSEO

p_pelagic

16

6

1

0.408

0.402

0.159

0.681

1.055

0.138

0.043

SSEO

p_pelagic

16

6

2

0.387

0.379

0.143

0.657

1.053

0.136

0.059

SSEO

p_pelagic

16

7

1

0.408

0.404

0.149

0.687

1.048

0.139

0.029

SSEO

p_pelagic

16

7

2

0.388

0.382

0.143

0.654

1.057

0.136

0.044

SSEO

p_pelagic

16

8

1

0.406

0.404

0.156

0.672

1.066

0.137

0.015

SSEO

p_pelagic

16

8

2

0.386

0.379

0.150

0.666

1.053

0.136

0.051

SSEO

p_pelagic

16

9

1

0.412

0.406

0.159

0.691

1.059

0.136

0.044

SSEO

p_pelagic

16

9

2

0.391

0.386

0.150

0.664

1.047

0.136

0.037

SSEO

p_pelagic

3

1

1

0.544

0.547

0.273

0.788

1.015

0.134

-0.022

PWSI

p_pelagic

3

10

1

0.547

0.552

0.270

0.793

1.016

0.134

-0.037

PWSI

p_pelagic

3

11

1

0.547

0.557

0.278

0.776

1.017

0.131

-0.076

PWSI

p_pelagic

3

11

2

0.187

0.172

0.063

0.390

1.012

0.085

0.176

PWSI

p_pelagic

3

12

1

0.548

0.551

0.273

0.793

1.021

0.135

-0.022

PWSI

p_pelagic

3

12

2

0.188

0.175

0.063

0.388

1.012

0.085

0.154

PWSI

p_pelagic

3

13

1

0.544

0.551

0.279

0.783

1.013

0.132

-0.053

PWSI

p_pelagic

3

14

2

0.193

0.182

0.064

0.387

1.014

0.085

0.130

PWSI

p_pelagic

3

15

1

0.544

0.549

0.286

0.783

1.023

0.130

-0.038

PWSI

p_pelagic

3

16

1

0.545

0.550

0.283

0.784

1.011

0.131

-0.038

PWSI

p_pelagic

3

17

1

0.544

0.549

0.272

0.789

1.021

0.132

-0.038

PWSI

p_pelagic

3

18

1

0.549

0.554

0.285

0.789

1.012

0.132

-0.038

PWSI

p_pelagic

3

19

1

0.551

0.557

0.288

0.785

1.013

0.130

-0.046

PWSI

p_pelagic

3

2

1

0.545

0.548

0.278

0.791

1.018

0.134

-0.022

PWSI

p_pelagic

3

3

1

0.546

0.554

0.278

0.782

1.029

0.133

-0.060

PWSI

p_pelagic

3

3

2

0.185

0.171

0.058

0.398

1.011

0.085

0.164

PWSI

p_pelagic

3

4

1

0.540

0.543

0.274

0.784

1.022

0.133

-0.023

PWSI

p_pelagic

3

5

2

0.187

0.173

0.064

0.382

1.013

0.085

0.164

PWSI

p_pelagic

3

6

1

0.542

0.545

0.272

0.784

1.010

0.133

-0.023

PWSI

p_pelagic

3

6

2

0.190

0.176

0.061

0.396

1.012

0.087

0.161

PWSI

p_pelagic

3

7

1

0.544

0.547

0.280

0.794

1.012

0.133

-0.023

PWSI

p_pelagic

3

7

2

0.187

0.176

0.063

0.383

1.014

0.083

0.133

PWSI

p_pelagic

3

8

1

0.546

0.551

0.292

0.781

1.019

0.129

-0.039

PWSI

p_pelagic

3

8

2

0.187

0.174

0.063

0.380

1.010

0.084

0.156

PWSI

p_pelagic

3

9

1

0.550

0.553

0.288

0.790

1.017

0.132

-0.023

PWSI

p_pelagic

3

9

2

0.186

0.172

0.062

0.376

1.011

0.083

0.168

PWSI

p_pelagic

4

1

2

0.522

0.530

0.243

0.771

1.010

0.137

-0.058

PWSO

p_pelagic

4

10

2

0.525

0.530

0.254

0.779

1.013

0.138

-0.036

PWSO

p_pelagic

4

11

1

0.530

0.537

0.258

0.773

1.010

0.135

-0.052

PWSO

p_pelagic

4

11

2

0.523

0.528

0.246

0.770

1.014

0.136

-0.037

PWSO

p_pelagic

4

12

1

0.527

0.534

0.247

0.780

1.012

0.137

-0.051

PWSO

p_pelagic

4

13

1

0.529

0.533

0.251

0.782

1.016

0.139

-0.029

PWSO

p_pelagic

4

14

1

0.527

0.533

0.251

0.781

1.012

0.140

-0.043

PWSO

p_pelagic

4

15

1

0.522

0.526

0.256

0.779

1.011

0.136

-0.029

PWSO

p_pelagic

4

17

1

0.525

0.531

0.261

0.777

1.012

0.135

-0.044

PWSO

p_pelagic

4

18

2

0.522

0.521

0.265

0.773

1.011

0.135

0.007

PWSO

p_pelagic

4

2

1

0.524

0.530

0.251

0.773

1.013

0.137

-0.044

PWSO

p_pelagic

4

3

2

0.519

0.522

0.252

0.763

1.013

0.137

-0.022

PWSO

p_pelagic

4

4

1

0.527

0.532

0.251

0.775

1.010

0.135

-0.037

PWSO

p_pelagic

4

4

2

0.525

0.532

0.244

0.768

1.017

0.138

-0.051

PWSO

p_pelagic

4

5

2

0.521

0.529

0.252

0.771

1.012

0.137

-0.058

PWSO

p_yellow

4

5

1

0.887

0.902

0.707

0.980

1.011

0.071

-0.212

PWSO

p_pelagic

4

6

1

0.527

0.533

0.247

0.781

1.014

0.139

-0.043

PWSO

p_pelagic

4

7

1

0.530

0.538

0.246

0.777

1.011

0.137

-0.058

PWSO

p_pelagic

4

7

2

0.524

0.531

0.248

0.770

1.011

0.138

-0.051

PWSO

p_pelagic

4

8

2

0.526

0.528

0.252

0.779

1.012

0.138

-0.014

PWSO

p_pelagic

4

9

1

0.523

0.528

0.241

0.780

1.013

0.140

-0.036

PWSO

p_black

8

40

1

0.490

0.417

0.343

0.964

1.029

0.193

0.378

afognak

p_black

8

48

1

0.530

0.492

0.415

0.963

1.023

0.135

0.281

afognak

Table Xb. True parameters with an Rhat in excess of 1.1

variable

area_n

year/species

mean

median

lower

upper

Rhat

sd

skew

year

area

beta2_pH

1

1

1.530

1.289

0.364

3.415

1.312

0.937

0.257

CI

beta1_pH

10

1

2.196

2.123

1.537

3.309

1.328

0.446

0.164

northeast

beta2_pH

10

1

1.322

0.725

0.235

6.840

1.322

1.780

0.335

northeast

beta3_pH

10

1

32.967

32.645

30.154

37.470

1.153

1.861

0.173

northeast

beta0_pH

11

1

0.099

0.157

-0.690

0.621

1.380

0.338

-0.172

CSEO

beta1_pH

11

1

3.279

3.221

2.456

4.338

1.259

0.478

0.121

CSEO

beta2_pH

11

1

0.449

0.388

0.197

1.079

1.193

0.226

0.270

CSEO

beta3_pH

11

1

31.311

31.286

29.255

33.248

1.196

1.047

0.024

CSEO

beta3_pH

11

4

40.499

40.394

38.859

42.527

1.126

0.957

0.110

CSEO

beta2_pH

12

1

1.730

1.457

0.626

3.836

1.128

0.906

0.301

EWYKT

beta0_pH

13

4

0.687

0.714

-0.081

1.341

1.101

0.362

-0.075

NSEI

beta1_pH

13

4

1.317

1.301

0.609

2.090

1.126

0.381

0.042

NSEI

beta0_pelagic

13

-0.899

-0.949

-1.458

-0.098

1.125

0.352

0.142

NSEI

beta1_pelagic

13

2.599

2.596

1.652

3.449

1.104

0.463

0.006

NSEI

beta0_yellow

13

-1.392

-1.344

-2.462

-1.068

1.238

0.285

-0.168

NSEI

beta2_black

13

-2.301

-2.026

-6.484

-0.251

1.103

1.621

-0.170

NSEI

beta0_pH

14

4

0.470

0.503

-0.311

1.080

1.217

0.365

-0.090

NSEO

beta1_pH

14

4

1.900

1.871

1.161

2.809

1.211

0.428

0.068

NSEO

beta2_pH

14

3

-6.277

-4.712

-17.981

-1.247

1.104

4.592

-0.341

NSEO

beta1_pelagic

14

1.805

1.702

1.144

3.164

1.159

0.472

0.218

NSEO

beta3_pelagic

14

34.221

34.029

31.492

38.592

1.130

1.785

0.108

NSEO

beta0_pH

15

1

0.118

0.150

-0.354

0.392

1.212

0.178

-0.180

SSEI

beta0_pH

15

4

0.618

0.651

-0.063

1.361

1.167

0.352

-0.094

SSEI

beta1_pH

15

1

2.309

2.264

1.920

2.932

1.210

0.250

0.180

SSEI

beta1_pH

15

4

1.402

1.379

0.548

2.177

1.161

0.413

0.056

SSEI

beta1_pelagic

15

0.137

0.032

0.001

0.725

1.122

0.205

0.513

SSEI

beta2_yellow

15

-6.571

-5.195

-20.598

-0.269

1.130

5.378

-0.256

SSEI

beta0_pelagic

16

-0.431

-0.339

-1.406

0.075

1.281

0.379

-0.242

SSEO

beta1_pelagic

16

1.605

1.403

0.735

3.148

1.301

0.666

0.304

SSEO

mu_beta2_pH

2

1

1.328

0.749

0.160

5.918

1.374

1.808

0.320

NG

tau_beta2_pH

2

1

14.415

3.031

0.059

83.854

1.116

22.820

0.499

NG

mu_beta0_pH

3

4

0.702

0.705

0.031

1.446

1.123

0.367

-0.008

PWSI

mu_beta2_pH

3

3

-5.894

-4.528

-18.174

-0.440

1.101

4.551

-0.300

PWSI

mu_beta2_pH

3

4

-6.277

-5.404

-16.533

-0.543

1.102

4.201

-0.208

PWSI

tau_beta2_pH

3

1

5.505

0.868

0.044

50.838

1.101

13.355

0.347

PWSI

beta0_pelagic

3

0.188

0.245

-0.421

0.564

1.116

0.267

-0.213

PWSI

beta0_yellow

4

0.869

0.973

-0.344

1.195

1.168

0.346

-0.300

PWSO

beta0_pH

5

1

-0.778

-0.717

-1.847

-0.125

1.125

0.428

-0.142

BSAI

beta1_pH

5

1

2.329

2.251

1.476

3.701

1.188

0.564

0.138

BSAI

beta2_pH

5

1

1.923

1.262

0.223

8.277

1.296

2.192

0.302

BSAI

beta0_pH

6

1

-0.580

-0.420

-2.118

0.065

1.171

0.531

-0.301

SOKO2SAP

beta1_pH

6

1

2.140

1.968

1.098

3.936

1.244

0.748

0.230

SOKO2SAP

beta2_pH

6

1

1.166

0.423

0.120

7.422

1.352

2.079

0.357

SOKO2SAP

beta1_pH

8

1

2.319

2.136

1.250

4.340

1.416

0.824

0.222

afognak

beta2_pH

8

1

0.902

0.357

0.142

5.503

1.466

1.661

0.328

afognak

beta3_pH

8

1

34.791

34.038

29.178

42.883

1.312

4.047

0.186

afognak

beta1_pH

9

1

2.101

1.963

1.189

3.638

1.317

0.641

0.215

eastside

beta2_pH

9

1

1.126

0.498

0.149

6.804

1.340

1.851

0.339

eastside

beta2_pH

9

3

0.388

0.225

0.093

1.885

1.166

0.644

0.253

eastside

beta3_pH

9

1

32.493

32.103

27.588

38.646

1.269

2.871

0.136

eastside

Table Xc. Summary statistics describing the characteristics of the derived harvest and release estimates that are not converged relative to an Rhat of 1.01.

Statistic

non.BSAI.SOKO.Harv

BSAI.SOKO.Harv

non.BSAI.SOKO.Rel

BSAI.SOKO.Rel

n unconverged at Rhat = 1.01

776.00

291.00

1,264.00

424.00

Prop. of total

0.73

0.27

0.75

0.25

Prop. median less than 1

0.14

0.18

0.28

0.37

Prop. median less than 10

0.27

0.44

0.45

0.66

Prop. median less than 50

0.39

0.65

0.59

0.74

Median of the median values

197.53

17.94

16.89

2.74

Mean of the median values

1,094.11

543.46

467.63

245.39

Mean skew of posteriors

0.21

0.28

0.26

0.25

Table Xd. Summary statistics describing the characteristics of the derived harvest and release estimates that are not converged relative to an Rhat of 1.1.

Statistic

non.BSAI.SOKO.Harv

BSAI.SOKO.Harv

non.BSAI.SOKO.Rel

BSAI.SOKO.Rel

n unconverged at Rhat = 1.1

5.00

5.00

54.00

44.00

Prop. of total

0.50

0.50

0.55

0.45

Prop. median less than 1

0.40

0.60

0.78

0.57

Prop. median less than 10

0.60

1.00

0.91

0.82

Prop. median less than 50

0.60

1.00

0.98

0.86

Median of the median values

1.59

0.39

0.01

0.35

Mean of the median values

36.57

0.62

3.14

23.00

Mean skew of posteriors

0.24

0.20

0.15

0.17

Table Xe. All parameters and derived quantities that are not converged relative to an Rhat of 1.1.

variable

Freq

beta0_pelagic

3

beta0_pH

6

beta0_yellow

2

beta1_pelagic

3

beta1_pH

10

beta2_pH

9

beta2_yellow

1

beta3_pelagic

1

beta3_pH

5

H_ay

1

H_ayu

1

Hb_ayu

1

Ho_ay

2

Ho_ayu

4

Hp_ay

1

Hp_ayu

1

Hs_ayu

2

Hy_ay

2

Hy_ayg

1

Hy_ayu

2

mu_beta0_pH

1

mu_beta2_pH

1

p_slope

1

pH

3

R_ayg

3

R_ayu

6

Rb_ayg

3

Rb_ayu

1

Rd_ay

3

Rd_ayg

2

Rd_ayu

2

re_pelagic

6

re_pH

51

Ro_ay

14

Ro_ayg

11

Ro_ayu

26

Rp_ayg

3

Rp_ayu

1

Rs_ay

3

Rs_ayg

10

Rs_ayu

15

Ry_ay

15

Ry_ayg

6

Ry_ayu

22

tau_beta2_pH

1

wt

2,181

Parameter estimates:

Summary Table of Parameter Estimates
Parameter mean sd Lower_CI Median Upper_CI
mu_bc_H[1] -0.013 0.071 -0.146 -0.015 0.139
mu_bc_H[2] 0.069 0.053 -0.029 0.068 0.183
mu_bc_H[3] -0.272 0.068 -0.397 -0.274 -0.135
mu_bc_H[4] -0.933 0.180 -1.301 -0.928 -0.592
mu_bc_H[5] 1.377 1.189 0.113 1.096 4.506
mu_bc_H[6] -2.388 0.323 -3.022 -2.392 -1.735
mu_bc_H[7] -0.459 0.102 -0.663 -0.457 -0.257
mu_bc_H[8] 0.256 0.347 -0.327 0.226 1.038
mu_bc_H[9] -0.248 0.125 -0.498 -0.246 -0.002
mu_bc_H[10] 0.061 0.065 -0.059 0.058 0.195
mu_bc_H[11] -0.126 0.037 -0.200 -0.125 -0.053
mu_bc_H[12] -0.256 0.107 -0.496 -0.251 -0.057
mu_bc_H[13] -0.163 0.072 -0.302 -0.163 -0.020
mu_bc_H[14] -0.302 0.092 -0.487 -0.299 -0.128
mu_bc_H[15] -0.337 0.047 -0.430 -0.337 -0.244
mu_bc_H[16] -0.154 0.357 -0.768 -0.182 0.625
mu_bc_R[1] 1.051 0.121 0.812 1.051 1.289
mu_bc_R[2] 1.011 0.075 0.855 1.016 1.144
mu_bc_R[3] 0.244 0.095 0.054 0.245 0.422
mu_bc_R[4] 0.681 0.199 0.277 0.685 1.048
mu_bc_R[5] 1.693 0.373 0.966 1.703 2.419
mu_bc_R[6] -1.426 0.344 -2.089 -1.432 -0.745
mu_bc_R[7] 0.499 0.170 0.147 0.500 0.822
mu_bc_R[8] 0.638 0.145 0.354 0.637 0.910
mu_bc_R[9] 0.399 0.165 0.062 0.405 0.706
mu_bc_R[10] 0.913 0.102 0.715 0.911 1.112
mu_bc_R[11] 1.107 0.074 0.967 1.108 1.256
mu_bc_R[12] 0.866 0.161 0.547 0.868 1.189
mu_bc_R[13] 1.045 0.088 0.869 1.046 1.216
mu_bc_R[14] 0.863 0.125 0.622 0.865 1.105
mu_bc_R[15] 0.808 0.097 0.613 0.810 0.994
mu_bc_R[16] 1.356 0.113 1.129 1.358 1.572
tau_pH[1] 2.428 0.177 2.100 2.423 2.792
tau_pH[2] 1.635 0.153 1.357 1.629 1.953
tau_pH[3] 1.217 0.112 1.009 1.214 1.458
tau_pH[4] 1.120 0.144 0.860 1.110 1.435
tau_pH[5] 0.433 0.077 0.306 0.426 0.607
beta0_pH[1,1] 0.577 0.182 0.183 0.595 0.902
beta0_pH[2,1] 1.397 0.166 1.056 1.399 1.716
beta0_pH[3,1] 1.399 0.219 0.826 1.428 1.737
beta0_pH[4,1] 1.528 0.242 1.010 1.541 1.941
beta0_pH[5,1] -0.778 0.428 -1.847 -0.717 -0.125
beta0_pH[6,1] -0.580 0.531 -2.118 -0.420 0.065
beta0_pH[7,1] 0.759 0.011 0.738 0.759 0.780
beta0_pH[8,1] -0.612 0.284 -1.249 -0.601 -0.096
beta0_pH[9,1] -0.315 0.268 -0.864 -0.302 0.183
beta0_pH[10,1] 0.292 0.229 -0.209 0.299 0.705
beta0_pH[11,1] 0.099 0.338 -0.690 0.157 0.621
beta0_pH[12,1] 0.633 0.192 0.263 0.633 1.010
beta0_pH[13,1] -0.676 0.152 -0.968 -0.669 -0.381
beta0_pH[14,1] 0.018 0.181 -0.348 0.022 0.361
beta0_pH[15,1] 0.118 0.178 -0.354 0.150 0.392
beta0_pH[16,1] -0.855 0.181 -1.205 -0.841 -0.519
beta0_pH[1,2] 2.563 0.083 2.404 2.561 2.730
beta0_pH[2,2] 3.079 0.021 3.038 3.078 3.120
beta0_pH[3,2] 3.624 0.041 3.546 3.623 3.706
beta0_pH[4,2] 2.936 0.019 2.899 2.936 2.971
beta0_pH[5,2] 4.562 1.525 2.693 4.259 8.413
beta0_pH[6,2] 3.317 0.153 3.032 3.314 3.622
beta0_pH[7,2] 2.033 0.050 1.936 2.032 2.135
beta0_pH[8,2] 2.820 0.066 2.693 2.820 2.956
beta0_pH[9,2] 3.957 0.207 3.584 3.947 4.384
beta0_pH[10,2] 3.990 0.128 3.751 3.988 4.243
beta0_pH[11,2] 1.885 0.009 1.868 1.885 1.904
beta0_pH[12,2] 1.792 0.068 1.659 1.791 1.931
beta0_pH[13,2] 2.497 0.026 2.443 2.497 2.549
beta0_pH[14,2] 1.804 0.024 1.759 1.804 1.852
beta0_pH[15,2] 2.545 0.017 2.511 2.545 2.579
beta0_pH[16,2] 2.765 0.025 2.716 2.765 2.813
beta0_pH[1,3] 1.089 0.379 0.223 1.160 1.678
beta0_pH[2,3] 2.126 0.017 2.093 2.126 2.160
beta0_pH[3,3] 2.692 0.024 2.647 2.692 2.739
beta0_pH[4,3] 2.980 0.034 2.913 2.981 3.048
beta0_pH[5,3] 3.271 2.326 0.827 2.661 9.426
beta0_pH[6,3] 1.357 0.369 0.731 1.330 2.146
beta0_pH[7,3] 0.861 0.050 0.765 0.859 0.964
beta0_pH[8,3] 0.264 0.229 -0.209 0.287 0.617
beta0_pH[9,3] -1.881 0.998 -4.265 -1.802 -0.276
beta0_pH[10,3] -0.417 0.840 -2.427 -0.315 0.878
beta0_pH[11,3] 1.063 0.505 0.018 1.092 1.989
beta0_pH[12,3] 0.903 0.642 -0.445 0.908 2.069
beta0_pH[13,3] 0.943 0.502 -0.110 0.968 1.840
beta0_pH[14,3] 0.534 0.419 -0.367 0.572 1.275
beta0_pH[15,3] 0.674 0.424 -0.272 0.715 1.435
beta0_pH[16,3] 1.150 0.638 -0.030 1.131 2.400
beta0_pH[11,4] 0.835 0.416 0.048 0.831 1.687
beta0_pH[12,4] 0.806 0.567 -0.272 0.775 2.023
beta0_pH[13,4] 0.687 0.362 -0.081 0.714 1.341
beta0_pH[14,4] 0.470 0.365 -0.311 0.503 1.080
beta0_pH[15,4] 0.618 0.352 -0.063 0.651 1.361
beta0_pH[16,4] 0.770 0.431 -0.028 0.752 1.696
beta0_pH[11,5] 2.972 0.152 2.707 2.963 3.301
beta0_pH[12,5] -0.896 0.500 -1.880 -0.884 0.030
beta0_pH[13,5] 4.906 0.399 4.172 4.891 5.737
beta0_pH[14,5] 3.885 0.368 3.202 3.862 4.671
beta0_pH[15,5] 2.286 0.123 2.061 2.283 2.550
beta0_pH[16,5] 0.273 0.069 0.173 0.262 0.434
beta1_pH[1,1] 2.459 0.448 1.732 2.397 3.447
beta1_pH[2,1] 1.622 0.286 1.051 1.619 2.169
beta1_pH[3,1] 1.816 0.413 1.207 1.756 2.840
beta1_pH[4,1] 1.935 0.458 1.233 1.863 3.231
beta1_pH[5,1] 2.329 0.564 1.476 2.251 3.701
beta1_pH[6,1] 2.140 0.748 1.098 1.968 3.936
beta1_pH[7,1] 0.000 0.000 0.000 0.000 0.000
beta1_pH[8,1] 2.319 0.824 1.250 2.136 4.340
beta1_pH[9,1] 2.101 0.641 1.189 1.963 3.638
beta1_pH[10,1] 2.196 0.446 1.537 2.123 3.309
beta1_pH[11,1] 3.279 0.478 2.456 3.221 4.338
beta1_pH[12,1] 2.890 0.288 2.331 2.888 3.456
beta1_pH[13,1] 3.492 0.252 2.992 3.494 3.964
beta1_pH[14,1] 2.854 0.328 2.255 2.834 3.530
beta1_pH[15,1] 2.309 0.250 1.920 2.264 2.932
beta1_pH[16,1] 4.003 0.246 3.528 4.003 4.446
beta1_pH[1,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[2,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[3,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[4,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[5,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[6,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[7,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[8,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[9,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[10,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[11,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[12,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[13,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[14,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[15,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[16,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[1,3] 1.863 1.043 0.054 1.785 4.400
beta1_pH[2,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[3,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[4,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[5,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[6,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[7,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[8,3] 4.694 2.548 0.916 4.109 11.452
beta1_pH[9,3] 6.648 2.473 2.913 6.333 12.772
beta1_pH[10,3] 6.320 2.665 2.638 5.732 12.648
beta1_pH[11,3] 2.230 0.546 1.185 2.216 3.319
beta1_pH[12,3] 3.304 0.664 2.095 3.273 4.707
beta1_pH[13,3] 2.052 0.535 1.047 2.035 3.148
beta1_pH[14,3] 2.258 0.476 1.379 2.231 3.288
beta1_pH[15,3] 2.156 0.489 1.259 2.122 3.185
beta1_pH[16,3] 3.734 0.697 2.355 3.758 5.053
beta1_pH[11,4] 1.986 0.470 1.007 2.014 2.880
beta1_pH[12,4] 3.246 0.586 2.029 3.255 4.378
beta1_pH[13,4] 1.317 0.381 0.609 1.301 2.090
beta1_pH[14,4] 1.900 0.428 1.161 1.871 2.809
beta1_pH[15,4] 1.402 0.413 0.548 1.379 2.177
beta1_pH[16,4] 3.732 0.524 2.634 3.748 4.697
beta1_pH[11,5] 0.000 0.000 0.000 0.000 0.000
beta1_pH[12,5] 0.000 0.000 0.000 0.000 0.000
beta1_pH[13,5] 0.000 0.000 0.000 0.000 0.000
beta1_pH[14,5] 0.000 0.000 0.000 0.000 0.000
beta1_pH[15,5] 0.000 0.000 0.000 0.000 0.000
beta1_pH[16,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[1,1] 1.530 0.937 0.364 1.289 3.415
beta2_pH[2,1] 1.691 0.967 0.305 1.488 3.450
beta2_pH[3,1] 1.387 0.857 0.211 1.216 2.944
beta2_pH[4,1] 1.196 0.830 0.198 0.905 2.923
beta2_pH[5,1] 1.923 2.192 0.223 1.262 8.277
beta2_pH[6,1] 1.166 2.079 0.120 0.423 7.422
beta2_pH[7,1] 0.000 0.000 0.000 0.000 0.000
beta2_pH[8,1] 0.902 1.661 0.142 0.357 5.503
beta2_pH[9,1] 1.126 1.851 0.149 0.498 6.804
beta2_pH[10,1] 1.322 1.780 0.235 0.725 6.840
beta2_pH[11,1] 0.449 0.226 0.197 0.388 1.079
beta2_pH[12,1] 1.730 0.906 0.626 1.457 3.836
beta2_pH[13,1] 1.021 0.430 0.569 0.912 2.308
beta2_pH[14,1] 1.118 0.643 0.455 0.923 3.146
beta2_pH[15,1] 1.128 0.655 0.403 0.945 3.115
beta2_pH[16,1] 1.057 0.334 0.638 0.990 1.849
beta2_pH[1,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[2,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[3,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[4,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[5,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[6,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[7,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[8,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[9,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[10,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[11,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[12,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[13,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[14,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[15,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[16,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[1,3] 6.781 6.584 0.163 5.303 22.240
beta2_pH[2,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[3,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[4,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[5,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[6,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[7,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[8,3] 1.605 1.484 0.180 1.125 6.006
beta2_pH[9,3] 0.388 0.644 0.093 0.225 1.885
beta2_pH[10,3] 0.461 0.605 0.108 0.278 2.238
beta2_pH[11,3] -6.048 4.921 -18.952 -4.448 -0.575
beta2_pH[12,3] -6.840 4.631 -18.566 -5.650 -1.249
beta2_pH[13,3] -6.233 4.772 -18.974 -4.790 -1.011
beta2_pH[14,3] -6.277 4.592 -17.981 -4.712 -1.247
beta2_pH[15,3] -6.371 4.569 -18.277 -4.979 -1.096
beta2_pH[16,3] -6.344 4.498 -18.325 -4.871 -1.515
beta2_pH[11,4] -6.628 4.581 -17.838 -5.546 -0.785
beta2_pH[12,4] -6.908 4.464 -17.847 -5.990 -1.118
beta2_pH[13,4] -6.674 4.431 -17.472 -5.682 -1.091
beta2_pH[14,4] -6.827 4.315 -17.456 -5.795 -1.338
beta2_pH[15,4] -6.940 4.442 -17.633 -6.044 -1.020
beta2_pH[16,4] -7.289 4.130 -17.793 -6.424 -2.053
beta2_pH[11,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[12,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[13,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[14,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[15,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[16,5] 0.000 0.000 0.000 0.000 0.000
beta3_pH[1,1] 34.792 1.032 32.707 34.845 36.776
beta3_pH[2,1] 32.580 1.395 30.168 32.445 35.804
beta3_pH[3,1] 33.131 1.467 30.503 33.051 36.400
beta3_pH[4,1] 32.350 1.659 29.615 32.212 35.804
beta3_pH[5,1] 27.788 1.481 25.726 27.548 31.777
beta3_pH[6,1] 32.733 3.402 24.515 32.888 39.596
beta3_pH[7,1] 25.000 0.000 25.000 25.000 25.000
beta3_pH[8,1] 34.791 4.047 29.178 34.038 42.883
beta3_pH[9,1] 32.493 2.871 27.588 32.103 38.646
beta3_pH[10,1] 32.967 1.861 30.154 32.645 37.470
beta3_pH[11,1] 31.311 1.047 29.255 31.286 33.248
beta3_pH[12,1] 30.780 0.484 29.797 30.803 31.660
beta3_pH[13,1] 31.421 0.533 30.403 31.409 32.489
beta3_pH[14,1] 32.595 0.741 31.267 32.578 34.042
beta3_pH[15,1] 31.045 0.738 29.639 31.056 32.543
beta3_pH[16,1] 30.133 0.357 29.446 30.120 30.871
beta3_pH[1,2] 34.686 5.515 25.498 34.747 43.517
beta3_pH[2,2] 34.381 5.482 25.382 34.258 43.500
beta3_pH[3,2] 30.559 7.268 18.607 30.702 42.345
beta3_pH[4,2] 30.428 7.157 18.646 30.314 42.252
beta3_pH[5,2] 30.429 7.186 18.766 30.428 42.388
beta3_pH[6,2] 30.477 7.129 18.709 30.411 42.255
beta3_pH[7,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[8,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[9,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[10,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[11,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[12,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[13,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[14,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[15,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[16,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[1,3] 37.990 3.476 28.619 39.466 42.271
beta3_pH[2,3] 34.424 5.460 25.439 34.398 43.446
beta3_pH[3,3] 30.527 7.175 18.762 30.345 42.366
beta3_pH[4,3] 30.462 7.231 18.578 30.533 42.383
beta3_pH[5,3] 25.000 0.000 25.000 25.000 25.000
beta3_pH[6,3] 25.000 0.000 25.000 25.000 25.000
beta3_pH[7,3] 25.000 0.000 25.000 25.000 25.000
beta3_pH[8,3] 42.005 1.261 39.152 41.987 43.864
beta3_pH[9,3] 35.914 1.662 34.523 35.267 40.730
beta3_pH[10,3] 37.829 2.528 34.646 37.142 43.401
beta3_pH[11,3] 40.786 1.044 39.014 40.802 42.743
beta3_pH[12,3] 42.087 0.669 40.414 42.290 42.851
beta3_pH[13,3] 41.418 0.717 40.003 41.437 42.822
beta3_pH[14,3] 40.499 0.642 39.173 40.519 41.714
beta3_pH[15,3] 40.677 0.602 39.412 40.683 41.896
beta3_pH[16,3] 41.860 0.386 41.058 41.919 42.623
beta3_pH[11,4] 40.499 0.957 38.859 40.394 42.527
beta3_pH[12,4] 41.947 0.746 40.308 42.200 42.874
beta3_pH[13,4] 41.887 0.969 40.015 41.935 43.621
beta3_pH[14,4] 40.355 0.697 38.933 40.390 41.636
beta3_pH[15,4] 41.177 0.960 39.154 41.164 43.124
beta3_pH[16,4] 41.418 0.288 40.922 41.404 41.929
beta3_pH[11,5] 25.000 0.000 25.000 25.000 25.000
beta3_pH[12,5] 25.000 0.000 25.000 25.000 25.000
beta3_pH[13,5] 25.000 0.000 25.000 25.000 25.000
beta3_pH[14,5] 25.000 0.000 25.000 25.000 25.000
beta3_pH[15,5] 25.000 0.000 25.000 25.000 25.000
beta3_pH[16,5] 25.000 0.000 25.000 25.000 25.000
beta4_pH[1,1] 0.264 0.021 0.225 0.264 0.307
beta4_pH[2,1] 0.211 0.005 0.201 0.211 0.221
beta4_pH[3,1] 0.173 0.007 0.159 0.173 0.187
beta4_pH[4,1] 0.294 0.011 0.271 0.294 0.316
beta4_pH[5,1] 0.434 0.292 0.093 0.401 0.946
beta4_pH[6,1] 0.793 0.394 0.324 0.739 1.512
beta4_pH[7,1] 0.865 0.353 0.357 0.807 1.659
beta4_pH[8,1] 0.162 0.072 0.042 0.157 0.317
beta4_pH[9,1] 0.214 0.086 0.061 0.211 0.396
beta4_pH[10,1] 0.001 0.001 0.000 0.001 0.003
beta4_pH[11,1] 0.446 0.012 0.423 0.446 0.469
beta4_pH[12,1] 0.641 0.023 0.597 0.641 0.687
beta4_pH[13,1] 0.630 0.014 0.603 0.630 0.656
beta4_pH[14,1] 0.670 0.031 0.614 0.669 0.733
beta4_pH[15,1] 0.800 0.020 0.760 0.800 0.841
beta4_pH[16,1] 1.222 0.042 1.141 1.221 1.308
beta4_pH[1,2] 0.305 0.096 0.136 0.299 0.507
beta4_pH[2,2] 0.513 0.023 0.470 0.513 0.559
beta4_pH[3,2] 0.446 0.012 0.423 0.446 0.469
beta4_pH[4,2] 0.654 0.038 0.582 0.653 0.729
beta4_pH[5,2] 0.744 0.933 0.120 0.545 2.610
beta4_pH[6,2] 0.916 0.873 0.210 0.728 2.735
beta4_pH[7,2] 0.899 0.421 0.364 0.826 1.950
beta4_pH[8,2] 0.851 0.201 0.493 0.839 1.273
beta4_pH[9,2] 1.178 1.177 0.306 0.885 3.797
beta4_pH[10,2] 0.456 0.052 0.361 0.455 0.564
beta4_pH[11,2] 1.268 0.050 1.171 1.268 1.368
beta4_pH[12,2] 0.582 0.107 0.385 0.578 0.803
beta4_pH[13,2] 0.945 0.044 0.862 0.943 1.034
beta4_pH[14,2] 0.932 0.063 0.811 0.932 1.054
beta4_pH[15,2] 1.011 0.026 0.962 1.010 1.064
beta4_pH[16,2] 1.407 0.077 1.262 1.407 1.560
beta4_pH[1,3] 0.284 0.085 0.130 0.279 0.453
beta4_pH[2,3] 0.051 0.017 0.020 0.050 0.088
beta4_pH[3,3] 0.052 0.010 0.033 0.052 0.071
beta4_pH[4,3] 0.173 0.031 0.115 0.172 0.236
beta4_pH[5,3] 0.763 0.823 0.121 0.570 2.719
beta4_pH[6,3] 0.869 0.831 0.205 0.714 2.407
beta4_pH[7,3] 0.894 0.410 0.337 0.829 1.888
beta4_pH[8,3] 0.415 0.199 0.108 0.392 0.868
beta4_pH[9,3] 0.950 0.967 0.158 0.702 3.241
beta4_pH[10,3] 0.061 0.042 0.003 0.055 0.158
beta4_pH[11,3] 0.363 0.016 0.334 0.364 0.394
beta4_pH[12,3] 0.439 0.041 0.361 0.438 0.522
beta4_pH[13,3] 0.837 0.038 0.767 0.836 0.915
beta4_pH[14,3] 0.824 0.066 0.698 0.822 0.960
beta4_pH[15,3] 0.634 0.017 0.602 0.634 0.668
beta4_pH[16,3] 0.636 0.035 0.570 0.636 0.709
beta4_pH[1,4] 0.636 0.351 0.215 0.560 1.521
beta4_pH[2,4] 0.788 0.775 0.108 0.580 2.684
beta4_pH[3,4] 0.887 1.036 0.107 0.604 3.469
beta4_pH[4,4] 0.718 0.451 0.206 0.617 1.747
beta4_pH[5,4] 0.776 0.950 0.116 0.572 2.597
beta4_pH[6,4] 0.891 0.712 0.192 0.728 2.640
beta4_pH[7,4] 0.900 0.430 0.343 0.825 1.885
beta4_pH[8,4] 0.739 0.722 0.148 0.590 2.198
beta4_pH[9,4] 0.786 0.839 0.122 0.567 2.855
beta4_pH[10,4] 1.464 3.053 0.008 0.382 11.162
beta4_pH[11,4] 0.444 0.017 0.410 0.444 0.478
beta4_pH[12,4] 0.554 0.053 0.459 0.552 0.665
beta4_pH[13,4] 0.925 0.036 0.857 0.924 0.999
beta4_pH[14,4] 0.918 0.074 0.780 0.918 1.070
beta4_pH[15,4] 0.713 0.020 0.675 0.713 0.754
beta4_pH[16,4] 0.684 0.041 0.609 0.683 0.765
beta4_pH[1,5] 0.642 0.366 0.215 0.565 1.500
beta4_pH[2,5] 0.790 0.771 0.119 0.578 2.797
beta4_pH[3,5] 0.844 0.998 0.105 0.576 3.050
beta4_pH[4,5] 0.732 0.470 0.210 0.626 1.982
beta4_pH[5,5] 0.756 0.758 0.114 0.570 2.495
beta4_pH[6,5] 0.921 0.812 0.215 0.742 2.613
beta4_pH[7,5] 0.902 0.450 0.348 0.826 1.978
beta4_pH[8,5] 0.753 0.710 0.150 0.592 2.231
beta4_pH[9,5] 0.785 0.918 0.119 0.559 2.772
beta4_pH[10,5] 1.445 2.971 0.007 0.398 10.422
beta4_pH[11,5] 0.602 0.052 0.506 0.603 0.706
beta4_pH[12,5] 0.585 0.168 0.303 0.564 0.962
beta4_pH[13,5] 0.773 0.059 0.664 0.771 0.895
beta4_pH[14,5] 0.846 0.117 0.641 0.838 1.098
beta4_pH[15,5] 1.144 0.073 1.008 1.141 1.292
beta4_pH[16,5] 17.486 4.041 10.156 17.447 24.467
beta0_pelagic[1] 2.267 0.036 2.198 2.266 2.343
beta0_pelagic[2] 1.538 0.007 1.524 1.538 1.552
beta0_pelagic[3] 0.188 0.267 -0.421 0.245 0.564
beta0_pelagic[4] 0.113 0.299 -0.683 0.155 0.569
beta0_pelagic[5] 1.451 0.156 1.155 1.449 1.772
beta0_pelagic[6] 1.356 0.061 1.241 1.354 1.481
beta0_pelagic[7] 1.485 0.039 1.411 1.484 1.562
beta0_pelagic[8] 1.674 0.044 1.592 1.671 1.764
beta0_pelagic[9] 2.793 0.064 2.670 2.792 2.918
beta0_pelagic[10] 2.604 0.032 2.545 2.604 2.668
beta0_pelagic[11] -0.204 0.227 -0.678 -0.170 0.161
beta0_pelagic[12] 1.801 0.036 1.734 1.799 1.876
beta0_pelagic[13] -0.899 0.352 -1.458 -0.949 -0.098
beta0_pelagic[14] -0.289 0.170 -0.649 -0.275 0.003
beta0_pelagic[15] -0.215 0.033 -0.296 -0.201 -0.181
beta0_pelagic[16] -0.431 0.379 -1.406 -0.339 0.075
beta1_pelagic[1] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[2] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[3] 0.768 0.326 0.300 0.720 1.749
beta1_pelagic[4] 0.956 0.352 0.448 0.909 1.966
beta1_pelagic[5] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[6] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[7] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[8] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[9] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[10] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[11] 1.233 0.326 0.682 1.181 1.910
beta1_pelagic[12] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[13] 2.599 0.463 1.652 2.596 3.449
beta1_pelagic[14] 1.805 0.472 1.144 1.702 3.164
beta1_pelagic[15] 0.137 0.205 0.001 0.032 0.725
beta1_pelagic[16] 1.605 0.666 0.735 1.403 3.148
beta2_pelagic[1] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[2] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[3] 6.031 5.885 0.166 4.128 20.151
beta2_pelagic[4] 6.554 6.008 0.185 5.006 21.387
beta2_pelagic[5] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[6] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[7] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[8] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[9] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[10] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[11] 1.602 1.521 0.194 1.064 5.701
beta2_pelagic[12] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[13] 0.187 0.072 0.100 0.175 0.340
beta2_pelagic[14] 0.864 0.871 0.199 0.588 3.415
beta2_pelagic[15] 2.704 1.943 0.191 2.340 7.382
beta2_pelagic[16] 0.839 1.142 0.111 0.388 4.611
beta3_pelagic[1] 29.436 3.755 23.319 29.367 35.701
beta3_pelagic[2] 29.462 3.768 23.394 29.406 35.673
beta3_pelagic[3] 27.878 2.622 23.448 28.173 32.137
beta3_pelagic[4] 25.900 1.354 23.383 26.091 28.824
beta3_pelagic[5] 29.621 6.697 18.570 29.864 40.426
beta3_pelagic[6] 29.546 6.625 18.519 29.555 40.523
beta3_pelagic[7] 29.469 6.644 18.551 29.503 40.447
beta3_pelagic[8] 29.610 6.682 18.670 29.815 40.341
beta3_pelagic[9] 29.441 6.652 18.538 29.402 40.607
beta3_pelagic[10] 29.375 6.649 18.493 29.316 40.454
beta3_pelagic[11] 29.896 1.416 27.433 29.793 33.017
beta3_pelagic[12] 32.436 5.432 23.474 32.542 41.521
beta3_pelagic[13] 30.988 3.532 25.354 30.499 40.044
beta3_pelagic[14] 34.221 1.785 31.492 34.029 38.592
beta3_pelagic[15] 35.104 5.640 23.814 36.510 41.740
beta3_pelagic[16] 31.741 3.027 26.115 31.386 39.785
beta0_yellow[1] -0.480 0.080 -0.636 -0.480 -0.321
beta0_yellow[2] 0.542 0.077 0.368 0.547 0.674
beta0_yellow[3] -0.214 0.132 -0.490 -0.216 0.015
beta0_yellow[4] 0.869 0.346 -0.344 0.973 1.195
beta0_yellow[5] 0.265 0.334 -0.448 0.296 0.845
beta0_yellow[6] 0.812 0.106 0.606 0.811 1.016
beta0_yellow[7] 1.001 0.094 0.821 1.002 1.188
beta0_yellow[8] 1.026 0.093 0.844 1.022 1.212
beta0_yellow[9] 0.458 0.098 0.264 0.459 0.654
beta0_yellow[10] 0.538 0.071 0.402 0.538 0.679
beta0_yellow[11] -0.207 0.123 -0.471 -0.194 -0.004
beta0_yellow[12] -1.081 0.094 -1.269 -1.080 -0.898
beta0_yellow[13] -1.392 0.285 -2.462 -1.344 -1.068
beta0_yellow[14] -0.255 0.148 -0.565 -0.239 -0.012
beta0_yellow[15] -1.246 0.123 -1.530 -1.239 -1.033
beta0_yellow[16] -0.255 0.092 -0.440 -0.254 -0.079
beta1_yellow[1] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[2] 1.006 0.228 0.556 1.005 1.461
beta1_yellow[3] 0.488 0.283 0.020 0.491 0.954
beta1_yellow[4] 1.415 0.698 0.642 1.211 3.505
beta1_yellow[5] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[6] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[7] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[8] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[9] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[10] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[11] 0.350 0.419 0.001 0.161 1.346
beta1_yellow[12] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[13] 1.025 0.993 0.020 0.757 4.063
beta1_yellow[14] 1.002 1.403 0.013 0.527 5.522
beta1_yellow[15] 0.144 0.182 0.011 0.073 0.607
beta1_yellow[16] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[1] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[2] -7.748 5.837 -21.901 -6.432 -0.541
beta2_yellow[3] -7.753 5.834 -21.912 -6.487 -0.431
beta2_yellow[4] -5.443 5.926 -20.125 -3.223 -0.104
beta2_yellow[5] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[6] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[7] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[8] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[9] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[10] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[11] -7.583 5.762 -21.014 -6.336 -0.439
beta2_yellow[12] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[13] -6.354 5.910 -20.604 -4.514 -0.143
beta2_yellow[14] -7.136 5.764 -21.254 -5.699 -0.398
beta2_yellow[15] -6.571 5.378 -20.598 -5.195 -0.269
beta2_yellow[16] 0.000 0.000 0.000 0.000 0.000
beta3_yellow[1] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[2] 28.940 1.110 27.416 28.710 31.774
beta3_yellow[3] 32.271 3.433 22.061 32.551 38.230
beta3_yellow[4] 29.629 3.390 23.124 28.412 36.122
beta3_yellow[5] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[6] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[7] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[8] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[9] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[10] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[11] 34.410 3.584 29.438 33.487 42.253
beta3_yellow[12] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[13] 33.817 2.626 29.394 33.796 40.291
beta3_yellow[14] 33.494 3.503 29.114 33.143 42.543
beta3_yellow[15] 36.868 3.889 30.342 36.771 43.607
beta3_yellow[16] 25.000 0.000 25.000 25.000 25.000
beta0_black[1] 0.012 0.077 -0.138 0.009 0.172
beta0_black[2] 1.855 0.032 1.794 1.855 1.915
beta0_black[3] 1.239 0.036 1.168 1.239 1.309
beta0_black[4] 2.425 0.048 2.332 2.424 2.520
beta0_black[5] 5.225 2.437 1.736 4.761 11.494
beta0_black[6] 5.287 2.212 2.654 4.731 11.226
beta0_black[7] 4.044 2.050 1.567 3.534 9.793
beta0_black[8] 0.884 0.216 0.479 0.877 1.340
beta0_black[9] 2.815 0.269 2.310 2.808 3.355
beta0_black[10] 1.287 0.050 1.191 1.286 1.386
beta0_black[11] 2.979 0.052 2.881 2.979 3.085
beta0_black[12] 4.918 0.190 4.555 4.914 5.305
beta0_black[13] 0.448 0.342 0.018 0.365 1.230
beta0_black[14] 2.853 0.106 2.645 2.852 3.059
beta0_black[15] 0.721 0.052 0.619 0.721 0.822
beta0_black[16] 3.774 0.074 3.631 3.773 3.922
beta2_black[1] 0.000 0.000 0.000 0.000 0.000
beta2_black[2] 0.000 0.000 0.000 0.000 0.000
beta2_black[3] 0.000 0.000 0.000 0.000 0.000
beta2_black[4] 0.000 0.000 0.000 0.000 0.000
beta2_black[5] 0.000 0.000 0.000 0.000 0.000
beta2_black[6] 0.000 0.000 0.000 0.000 0.000
beta2_black[7] 0.000 0.000 0.000 0.000 0.000
beta2_black[8] 0.000 0.000 0.000 0.000 0.000
beta2_black[9] 0.000 0.000 0.000 0.000 0.000
beta2_black[10] 0.000 0.000 0.000 0.000 0.000
beta2_black[11] 0.000 0.000 0.000 0.000 0.000
beta2_black[12] 0.000 0.000 0.000 0.000 0.000
beta2_black[13] -2.301 1.621 -6.484 -2.026 -0.251
beta2_black[14] 0.000 0.000 0.000 0.000 0.000
beta2_black[15] 0.000 0.000 0.000 0.000 0.000
beta2_black[16] 0.000 0.000 0.000 0.000 0.000
beta3_black[1] 25.000 0.000 25.000 25.000 25.000
beta3_black[2] 25.000 0.000 25.000 25.000 25.000
beta3_black[3] 25.000 0.000 25.000 25.000 25.000
beta3_black[4] 25.000 0.000 25.000 25.000 25.000
beta3_black[5] 25.000 0.000 25.000 25.000 25.000
beta3_black[6] 25.000 0.000 25.000 25.000 25.000
beta3_black[7] 25.000 0.000 25.000 25.000 25.000
beta3_black[8] 25.000 0.000 25.000 25.000 25.000
beta3_black[9] 25.000 0.000 25.000 25.000 25.000
beta3_black[10] 25.000 0.000 25.000 25.000 25.000
beta3_black[11] 25.000 0.000 25.000 25.000 25.000
beta3_black[12] 25.000 0.000 25.000 25.000 25.000
beta3_black[13] 37.304 3.327 27.014 38.100 40.897
beta3_black[14] 25.000 0.000 25.000 25.000 25.000
beta3_black[15] 25.000 0.000 25.000 25.000 25.000
beta3_black[16] 25.000 0.000 25.000 25.000 25.000
beta4_black[1] -0.325 0.093 -0.507 -0.324 -0.144
beta4_black[2] 0.258 0.051 0.160 0.256 0.363
beta4_black[3] -0.718 0.066 -0.847 -0.720 -0.586
beta4_black[4] 0.632 0.130 0.374 0.629 0.890
beta4_black[5] 0.755 1.519 -1.218 0.485 4.411
beta4_black[6] 0.857 1.445 -0.884 0.563 4.520
beta4_black[7] 0.799 1.410 -0.953 0.504 4.383
beta4_black[8] 0.090 0.282 -0.504 0.101 0.646
beta4_black[9] 1.023 0.812 -0.105 0.854 2.983
beta4_black[10] 0.075 0.066 -0.049 0.074 0.205
beta4_black[11] -0.610 0.065 -0.739 -0.610 -0.484
beta4_black[12] 1.229 0.286 0.690 1.225 1.813
beta4_black[13] -1.006 0.077 -1.159 -1.002 -0.863
beta4_black[14] 0.219 0.177 -0.127 0.216 0.564
beta4_black[15] 0.003 0.047 -0.089 0.002 0.094
beta4_black[16] -0.418 0.116 -0.643 -0.417 -0.189
beta0_dsr[11] -0.329 0.009 -0.347 -0.328 -0.311
beta0_dsr[12] 1.409 0.043 1.327 1.408 1.497
beta0_dsr[13] 0.155 0.021 0.111 0.156 0.195
beta0_dsr[14] -0.127 0.017 -0.160 -0.127 -0.093
beta0_dsr[15] 0.206 0.014 0.178 0.205 0.233
beta0_dsr[16] 0.169 0.015 0.138 0.169 0.199
beta1_dsr[11] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[12] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[13] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[14] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[15] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[16] 0.000 0.000 0.000 0.000 0.000
beta4_dsr[11] 0.543 0.035 0.476 0.543 0.610
beta4_dsr[12] 0.807 0.219 0.400 0.800 1.255
beta4_dsr[13] -0.077 0.040 -0.156 -0.076 0.001
beta4_dsr[14] -0.209 0.072 -0.350 -0.209 -0.069
beta4_dsr[15] 0.216 0.022 0.173 0.216 0.260
beta4_dsr[16] -0.059 0.045 -0.149 -0.059 0.031
beta0_slope[11] -2.208 0.021 -2.250 -2.208 -2.167
beta0_slope[12] -4.978 0.185 -5.371 -4.972 -4.637
beta0_slope[13] -1.501 0.033 -1.567 -1.501 -1.438
beta0_slope[14] -2.711 0.051 -2.815 -2.710 -2.611
beta0_slope[15] -1.592 0.022 -1.635 -1.592 -1.550
beta0_slope[16] -2.660 0.035 -2.730 -2.661 -2.589
beta1_slope[11] 0.000 0.000 0.000 0.000 0.000
beta1_slope[12] 0.000 0.000 0.000 0.000 0.000
beta1_slope[13] 0.000 0.000 0.000 0.000 0.000
beta1_slope[14] 0.000 0.000 0.000 0.000 0.000
beta1_slope[15] 0.000 0.000 0.000 0.000 0.000
beta1_slope[16] 0.000 0.000 0.000 0.000 0.000
beta4_slope[11] -0.334 0.075 -0.484 -0.332 -0.191
beta4_slope[12] -4.678 0.780 -6.296 -4.640 -3.201
beta4_slope[13] 0.327 0.053 0.222 0.328 0.432
beta4_slope[14] -0.158 0.151 -0.457 -0.157 0.138
beta4_slope[15] -0.360 0.033 -0.425 -0.360 -0.296
beta4_slope[16] -0.134 0.101 -0.335 -0.135 0.059
beta5_slope[11] 3.063 0.106 2.862 3.061 3.280
beta5_slope[12] 2.014 0.385 1.299 2.003 2.809
beta5_slope[13] 0.878 0.079 0.726 0.877 1.030
beta5_slope[14] 3.753 0.357 3.110 3.742 4.469
beta5_slope[15] 1.306 0.073 1.164 1.306 1.448
beta5_slope[16] 2.722 0.224 2.305 2.711 3.174
tau_comp[1] 3.786 0.293 3.223 3.777 4.395
tau_comp[2] 2.876 0.255 2.394 2.869 3.374
tau_comp[3] 0.871 0.074 0.734 0.870 1.023
tau_comp[4] 1.780 0.278 1.294 1.760 2.382
tau_comp[5] 1.298 0.188 0.953 1.289 1.693
sigma_H[1] 0.207 0.049 0.119 0.204 0.311
sigma_H[2] 0.174 0.029 0.125 0.172 0.237
sigma_H[3] 0.191 0.040 0.120 0.188 0.278
sigma_H[4] 0.460 0.079 0.329 0.451 0.640
sigma_H[5] 0.955 0.201 0.581 0.944 1.376
sigma_H[6] 0.537 0.201 0.109 0.539 0.932
sigma_H[7] 0.307 0.060 0.214 0.300 0.446
sigma_H[8] 0.421 0.090 0.286 0.411 0.620
sigma_H[9] 0.510 0.119 0.322 0.494 0.786
sigma_H[10] 0.209 0.039 0.142 0.206 0.299
sigma_H[11] 0.265 0.045 0.191 0.261 0.367
sigma_H[12] 0.383 0.147 0.199 0.338 0.714
sigma_H[13] 0.217 0.036 0.157 0.214 0.295
sigma_H[14] 0.497 0.090 0.345 0.491 0.693
sigma_H[15] 0.231 0.038 0.167 0.229 0.314
sigma_H[16] 0.215 0.040 0.147 0.211 0.307
lambda_H[1] 2.194 3.911 0.078 0.964 11.413
lambda_H[2] 5.298 5.095 0.526 3.840 20.046
lambda_H[3] 5.683 7.958 0.272 3.104 27.780
lambda_H[4] 0.006 0.005 0.001 0.005 0.018
lambda_H[5] 2.399 4.689 0.025 0.693 16.605
lambda_H[6] 6.562 13.917 0.009 0.377 47.410
lambda_H[7] 0.012 0.009 0.002 0.010 0.034
lambda_H[8] 8.040 10.925 0.109 4.355 36.837
lambda_H[9] 0.015 0.010 0.003 0.013 0.040
lambda_H[10] 0.220 0.266 0.024 0.150 0.798
lambda_H[11] 0.221 0.326 0.011 0.106 1.092
lambda_H[12] 3.781 4.956 0.175 2.219 18.091
lambda_H[13] 3.247 3.028 0.267 2.263 11.710
lambda_H[14] 3.277 3.609 0.252 2.108 12.850
lambda_H[15] 0.019 0.023 0.003 0.014 0.063
lambda_H[16] 0.506 0.836 0.032 0.250 2.618
mu_lambda_H[1] 4.067 1.845 1.102 3.871 8.006
mu_lambda_H[2] 3.721 1.935 0.578 3.538 7.774
mu_lambda_H[3] 3.334 1.815 0.705 3.053 7.477
sigma_lambda_H[1] 8.198 4.330 1.724 7.480 17.858
sigma_lambda_H[2] 8.302 4.802 0.962 7.672 18.417
sigma_lambda_H[3] 6.154 3.991 0.966 5.334 15.931
beta_H[1,1] 6.457 1.312 3.291 6.653 8.355
beta_H[2,1] 9.777 0.599 8.461 9.816 10.844
beta_H[3,1] 7.855 0.772 6.036 7.933 9.126
beta_H[4,1] 10.762 7.591 -4.808 10.629 25.782
beta_H[5,1] -0.284 2.619 -5.669 -0.134 4.349
beta_H[6,1] 3.105 4.350 -7.284 4.698 8.349
beta_H[7,1] 1.180 5.697 -11.221 1.517 11.351
beta_H[8,1] 1.188 3.123 -2.600 1.191 3.557
beta_H[9,1] 13.571 5.588 3.032 13.414 25.108
beta_H[10,1] 6.869 1.870 2.976 6.894 10.515
beta_H[11,1] 4.875 3.503 -2.684 5.429 9.878
beta_H[12,1] 2.628 1.086 0.763 2.541 5.183
beta_H[13,1] 9.091 0.856 7.186 9.148 10.578
beta_H[14,1] 2.141 0.977 0.260 2.149 4.099
beta_H[15,1] -6.917 3.382 -13.330 -7.051 0.060
beta_H[16,1] 4.117 3.092 -0.720 3.671 11.357
beta_H[1,2] 7.770 0.279 7.176 7.787 8.280
beta_H[2,2] 9.886 0.159 9.568 9.888 10.199
beta_H[3,2] 8.795 0.194 8.411 8.794 9.188
beta_H[4,2] 3.007 1.437 0.331 2.957 6.038
beta_H[5,2] 1.737 1.039 -0.279 1.771 3.789
beta_H[6,2] 6.038 1.079 3.625 6.173 7.766
beta_H[7,2] 2.426 1.072 0.484 2.372 4.718
beta_H[8,2] 3.022 0.974 1.392 3.136 4.274
beta_H[9,2] 3.141 1.078 1.106 3.128 5.350
beta_H[10,2] 8.013 0.376 7.199 8.028 8.717
beta_H[11,2] 9.832 0.632 8.866 9.730 11.206
beta_H[12,2] 3.941 0.362 3.257 3.931 4.715
beta_H[13,2] 9.150 0.238 8.692 9.153 9.639
beta_H[14,2] 4.010 0.341 3.344 4.014 4.690
beta_H[15,2] 11.531 0.611 10.259 11.546 12.674
beta_H[16,2] 4.527 0.834 3.031 4.501 6.335
beta_H[1,3] 8.458 0.263 7.976 8.459 8.983
beta_H[2,3] 9.871 0.147 9.590 9.871 10.160
beta_H[3,3] 9.465 0.162 9.150 9.464 9.788
beta_H[4,3] -2.123 0.847 -3.853 -2.108 -0.527
beta_H[5,3] 3.877 0.616 2.640 3.883 5.071
beta_H[6,3] 8.329 1.168 6.658 8.012 10.832
beta_H[7,3] -2.564 0.645 -3.854 -2.563 -1.356
beta_H[8,3] 5.279 0.477 4.668 5.221 6.301
beta_H[9,3] -2.668 0.705 -4.075 -2.655 -1.290
beta_H[10,3] 8.562 0.283 8.032 8.556 9.124
beta_H[11,3] 8.501 0.286 7.882 8.520 9.010
beta_H[12,3] 5.278 0.314 4.577 5.320 5.778
beta_H[13,3] 8.861 0.172 8.507 8.863 9.184
beta_H[14,3] 5.778 0.268 5.178 5.796 6.263
beta_H[15,3] 10.290 0.291 9.734 10.286 10.864
beta_H[16,3] 5.891 0.607 4.678 5.903 7.014
beta_H[1,4] 8.089 0.188 7.693 8.096 8.437
beta_H[2,4] 9.858 0.126 9.606 9.860 10.094
beta_H[3,4] 9.971 0.153 9.638 9.979 10.241
beta_H[4,4] 11.792 0.470 10.829 11.799 12.679
beta_H[5,4] 5.573 0.749 4.332 5.484 7.246
beta_H[6,4] 7.207 0.928 5.281 7.466 8.511
beta_H[7,4] 8.543 0.351 7.824 8.554 9.206
beta_H[8,4] 6.729 0.241 6.261 6.735 7.142
beta_H[9,4] 7.419 0.440 6.571 7.417 8.289
beta_H[10,4] 7.515 0.218 7.111 7.507 7.948
beta_H[11,4] 9.509 0.188 9.135 9.509 9.874
beta_H[12,4] 7.258 0.201 6.863 7.253 7.674
beta_H[13,4] 9.073 0.140 8.785 9.077 9.338
beta_H[14,4] 7.833 0.217 7.435 7.825 8.264
beta_H[15,4] 9.468 0.216 9.063 9.463 9.888
beta_H[16,4] 9.429 0.247 8.968 9.417 9.922
beta_H[1,5] 8.892 0.158 8.564 8.895 9.192
beta_H[2,5] 10.674 0.098 10.489 10.670 10.878
beta_H[3,5] 10.751 0.159 10.477 10.746 11.085
beta_H[4,5] 8.352 0.490 7.379 8.352 9.326
beta_H[5,5] 5.181 0.600 3.770 5.251 6.166
beta_H[6,5] 8.928 0.608 8.013 8.818 10.268
beta_H[7,5] 6.580 0.348 5.903 6.567 7.308
beta_H[8,5] 8.255 0.209 7.905 8.241 8.658
beta_H[9,5] 8.204 0.452 7.310 8.209 9.083
beta_H[10,5] 10.040 0.217 9.606 10.041 10.457
beta_H[11,5] 11.594 0.219 11.162 11.591 12.041
beta_H[12,5] 8.612 0.189 8.215 8.614 8.984
beta_H[13,5] 10.131 0.129 9.886 10.128 10.395
beta_H[14,5] 9.241 0.217 8.843 9.234 9.699
beta_H[15,5] 11.318 0.230 10.861 11.322 11.770
beta_H[16,5] 9.829 0.188 9.458 9.843 10.184
beta_H[1,6] 10.116 0.238 9.738 10.084 10.700
beta_H[2,6] 11.474 0.114 11.250 11.473 11.706
beta_H[3,6] 10.618 0.154 10.284 10.623 10.890
beta_H[4,6] 12.923 0.881 11.197 12.922 14.699
beta_H[5,6] 5.671 0.643 4.557 5.623 7.049
beta_H[6,6] 8.758 0.562 7.529 8.792 9.817
beta_H[7,6] 10.564 0.592 9.379 10.568 11.749
beta_H[8,6] 9.537 0.262 9.037 9.552 9.968
beta_H[9,6] 8.260 0.755 6.827 8.243 9.785
beta_H[10,6] 9.138 0.335 8.427 9.156 9.741
beta_H[11,6] 10.691 0.360 9.928 10.714 11.335
beta_H[12,6] 9.378 0.236 8.917 9.369 9.882
beta_H[13,6] 11.087 0.154 10.791 11.083 11.395
beta_H[14,6] 9.913 0.286 9.352 9.912 10.484
beta_H[15,6] 10.561 0.408 9.756 10.568 11.386
beta_H[16,6] 10.592 0.262 10.035 10.600 11.092
beta_H[1,7] 10.138 1.260 6.862 10.419 11.861
beta_H[2,7] 12.113 0.525 10.991 12.148 13.082
beta_H[3,7] 10.316 0.627 8.962 10.363 11.368
beta_H[4,7] 1.373 4.498 -7.522 1.402 10.204
beta_H[5,7] 5.784 2.153 1.512 5.865 9.727
beta_H[6,7] 7.207 3.145 -0.539 8.352 10.916
beta_H[7,7] 7.607 2.987 1.718 7.544 13.445
beta_H[8,7] 10.884 1.020 9.188 10.862 12.510
beta_H[9,7] 5.075 3.943 -2.829 5.171 12.848
beta_H[10,7] 9.998 1.607 7.277 9.811 13.520
beta_H[11,7] 11.356 1.814 8.201 11.177 15.400
beta_H[12,7] 9.815 0.933 7.708 9.887 11.497
beta_H[13,7] 11.717 0.700 10.216 11.775 12.980
beta_H[14,7] 10.653 0.894 8.769 10.692 12.297
beta_H[15,7] 13.922 2.154 9.751 13.901 18.174
beta_H[16,7] 12.847 1.440 10.411 12.700 15.986
beta0_H[1] 8.190 18.207 -30.675 8.378 44.835
beta0_H[2] 10.632 7.823 -4.643 10.576 26.118
beta0_H[3] 9.846 9.361 -9.059 9.647 29.836
beta0_H[4] 7.742 183.246 -361.227 5.095 389.299
beta0_H[5] 3.905 33.775 -57.078 3.999 58.834
beta0_H[6] 7.188 48.875 -104.225 7.726 113.371
beta0_H[7] 2.858 135.340 -271.131 4.173 274.685
beta0_H[8] 6.076 27.646 -17.046 6.398 30.217
beta0_H[9] 5.626 121.828 -255.574 4.616 249.300
beta0_H[10] 9.174 37.416 -68.596 9.020 86.838
beta0_H[11] 9.100 54.277 -104.002 9.424 120.423
beta0_H[12] 6.532 11.900 -17.645 6.804 30.175
beta0_H[13] 9.788 10.365 -11.687 10.079 29.322
beta0_H[14] 6.750 11.808 -16.579 7.038 29.811
beta0_H[15] 6.918 115.982 -226.643 7.274 233.227
beta0_H[16] 8.134 32.491 -55.164 8.258 74.544